Heat equation with a singular potential on the boundary and the Kato inequality

Kazuhiro Ishige, Michinori Ishiwata

研究成果: Article査読

5 被引用数 (Scopus)

抄録

This paper is concerned with the heat equation in the half-space ℝ + N with the singular potential function on the boundary, where N ≥ 3, ω > 0, 0 < T ≤ ∞, and u 0 ∈ C 0(ℝ + N). We prove the existence of a threshold number ω N for the existence and the nonexistence of positive solutions of (P), which is characterized as the best constant of the Kato inequality in ℝ + N.

本文言語English
ページ(範囲)161-176
ページ数16
ジャーナルJournal d'Analyse Mathematique
118
1
DOI
出版ステータスPublished - 2012 10

ASJC Scopus subject areas

  • 分析
  • 数学 (全般)

フィンガープリント

「Heat equation with a singular potential on the boundary and the Kato inequality」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル